A Note on Periodic Replacement with Minimal Repair at Failure

Journal of Korean Society for Quality Management > Volume 12(2); 1984 > Article

Journal of Korean Society for Quality Management 1984;12(2): 2-.

ABSTRACT

Periodic replacement model with minimal repair at failure is extended to the case where quantity purchases are possible. A recursive relationship among replacement intervals is obtained, which shows that replacement intervals are an increasing sequence due to the inventory carrying cost. Using the relationship, a procedure is given for determining how many units to purchase on each order and when to replace each unit after it has begun operating so as to minimize the total cost per unit time over an infinite time span. The problem can be simplified if equal replacement intervals are assumed, and the solution is very close to the solution of the unconstrained problem.